Imagine that you are an ecologist studying pigeon populations and you have determined that population is affected primarily by four factors: temperature $(t),$ availability of food $(f),$ predators $(p),$ and density of human population $($

h$).$ You have been tasked with designing a model

$M(t,f,p,h)=x_{1}t+x_{2}f+x_{3}p+x_{4}h$

that predicts the population given values of $t,f,p,$ and $h.$ For this model, you have collected five data obseravtions,

$\backslash$table$[[$ in C$),$ in $($:$\frac{g}{m^2}\},p$ per $k{m}^2,h$ in $\frac{1000}{k}{m}^2,$Pigeons per $k{m}^2$